Photonic-crystal surface modes found from impedances

被引：33

作者：

Lawrence, Felix J. ^{[1
,2
]}

Botten, Lindsay C. ^{[3
,4
]}

Dossou, Kokou B. ^{[3
,4
]}

McPhedran, R. C. ^{[1
,2
]}

de Sterke, C. Martijn ^{[1
,2
]}

机构：

[1] Univ Sydney, CUDOS, IPOS, Sydney, NSW 2006, Australia

[2] Univ Sydney, Sch Phys, Sydney, NSW 2006, Australia

[3] Univ Technol Sydney, CUDOS, Sydney, NSW 2007, Australia

[4] Univ Technol Sydney, Dept Math Sci, Sydney, NSW 2007, Australia

来源：

PHYSICAL REVIEW A | 2010年 / 82卷 / 05期

关键词：

SCATTERING; WAVES;

D O I：

10.1103/PhysRevA.82.053840

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We present a method for finding surface modes at interfaces between two-dimensional photonic crystals (PCs), in which the surface modes are represented as superpositions of the PCs' propagating and evanescent Bloch modes. We derive an existence condition for surface modes at an air-PC interface in terms of numerically calculated PC impedance matrices, and use the condition to find surface modes in the partial band gap of a PC. We also derive a condition for modes of a three-layer structure with two interfaces, and find both coupled surface modes and waveguide modes. We show that some waveguide modes cross the band edge and become coupled surface modes.

引用

页数：8

共 21 条

[1]

Boardman AD., 1982, Electromagnetic surface modes

[2] Formulation for electromagnetic scattering and propagation through grating stacks of metallic and dielectric cylinders for photonic crystal calculations. Part I. Method [J].

Botten, LC ;

Nicorovici, NAP ;

Asatryan, AA ;

McPhedran, RC ;

de Sterke, CM ;

Robinson, PA .

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 2000, 17 (12) :2165-2176

[3] Bloch mode scattering matrix methods for modeling extended photonic crystal structures. I. Theory [J].

Botten, LC ;

White, TP ;

Asatryan, AA ;

Langtry, TN ;

de Sterke, CM ;

McPhedran, RC .

PHYSICAL REVIEW E, 2004, 70 (05) :13

[4] Analysis of surface modes in photonic crystals by a plane-wave transfer-matrix method [J].

Che, Ming ;

Li, Zhi-Yuan .

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 2008, 25 (09) :2177-2184

[5] Coupling characteristics of surface modes in truncated two-dimensional photonic crystals [J].

Choi, Hyoung-Gyu ;

Oh, Sang Soon ;

Lee, Sun-Gu ;

Kim, Myeong-Woo ;

Kim, Jae-Eun ;

Park, Hae Yong ;

Kee, Chul-Sik .

JOURNAL OF APPLIED PHYSICS, 2006, 100 (12)

[6] Modes of coupled photonic crystal waveguides [J].

de Sterke, CM ;

Botten, LC ;

Asatryan, AA ;

White, TP ;

McPhedran, RC .

OPTICS LETTERS, 2004, 29 (12) :1384-1386

[7] Finite element computation of grating scattering matrices and application to photonic crystal band calculations [J].

Dossou, Kokou ;

Byrne, Michael A. ;

Botten, Lindsay C. .

JOURNAL OF COMPUTATIONAL PHYSICS, 2006, 219 (01) :120-143

[8] Coupled-mode calculation with the R-matrix propagator for the dispersion of surface waves on a truncated photonic crystal [J].

Elson, JM ;

Tran, P .

PHYSICAL REVIEW B, 1996, 54 (03) :1711-1715

[9] Analysis of the physical origin of surface modes on finite-size photonic crystals [J].

Enoch, S ;

Popov, E ;

Bonod, N .

PHYSICAL REVIEW B, 2005, 72 (15)

[10]

Hutley M., 1982, Diffraction Gratings

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